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Finding the Fourth Proportional to 1,008.08, 1,512.13 and 277.70

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Solution

The fourth proportional to 1,008.08, 1,512.13 and 277.70 is: 416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.08 : 1,512.13 = 277.70 : x
  2. Step 2: Convert to fraction form
    1,008.08/1,512.13 = 277.70/x
  3. Step 3: Cross multiply
    1,008.08x = 1,512.13 × 277.70
  4. Step 4: Simplify right side
    1,008.08x = 419,914.03
  5. Step 5: Solve for x
    x = 419,914.03/1,008.08
  6. Step 6: Final answer
    x = 416.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.